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Simplifying (X + 1)(4x + 6) = 24 Reorder the terms: (1 + X)(4x + 6) = 24 Reorder the terms: (1 + X)(6 + 4x) = 24 Multiply (1 + X) * (6 + 4x) (1(6 + 4x) + X(6 + 4x)) = 24 ((6 * 1 + 4x * 1) + X(6 + 4x)) = 24 ((6 + 4x) + X(6 + 4x)) = 24 (6 + 4x + (6 * X + 4x * X)) = 24 (6 + 4x + (6X + 4xX)) = 24 Reorder the terms: (6 + 6X + 4x + 4xX) = 24 (6 + 6X + 4x + 4xX) = 24 Solving 6 + 6X + 4x + 4xX = 24 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 6X + 4x + -6 + 4xX = 24 + -6 Reorder the terms: 6 + -6 + 6X + 4x + 4xX = 24 + -6 Combine like terms: 6 + -6 = 0 0 + 6X + 4x + 4xX = 24 + -6 6X + 4x + 4xX = 24 + -6 Combine like terms: 24 + -6 = 18 6X + 4x + 4xX = 18 Add '-4x' to each side of the equation. 6X + 4x + -4x + 4xX = 18 + -4x Combine like terms: 4x + -4x = 0 6X + 0 + 4xX = 18 + -4x 6X + 4xX = 18 + -4x Reorder the terms: -18 + 6X + 4x + 4xX = 18 + -4x + -18 + 4x Reorder the terms: -18 + 6X + 4x + 4xX = 18 + -18 + -4x + 4x Combine like terms: 18 + -18 = 0 -18 + 6X + 4x + 4xX = 0 + -4x + 4x -18 + 6X + 4x + 4xX = -4x + 4x Combine like terms: -4x + 4x = 0 -18 + 6X + 4x + 4xX = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-9 + 3X + 2x + 2xX) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-9 + 3X + 2x + 2xX)' equal to zero and attempt to solve: Simplifying -9 + 3X + 2x + 2xX = 0 Solving -9 + 3X + 2x + 2xX = 0 Move all terms containing X to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 3X + 2x + 9 + 2xX = 0 + 9 Reorder the terms: -9 + 9 + 3X + 2x + 2xX = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 3X + 2x + 2xX = 0 + 9 3X + 2x + 2xX = 0 + 9 Combine like terms: 0 + 9 = 9 3X + 2x + 2xX = 9 Add '-2x' to each side of the equation. 3X + 2x + -2x + 2xX = 9 + -2x Combine like terms: 2x + -2x = 0 3X + 0 + 2xX = 9 + -2x 3X + 2xX = 9 + -2x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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